What is the limit as x approaches 2 of 3f(x)+2g(x)(x)^2 ?

The limit as x approaches 2 of 3f(x)+2g(x)(x)^2 is 3f(2)+8g(2)

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limit as x approaches 2 of 3f(x)+2g(x)(x)^2

x \to 2 lim (3 f (x) + 2 g (x) (x)^{2})

3 f (2) + 8 g (2)

Solution steps

x \to 2 lim (3 f (x) + 2 g (x) x^{2})

Plug in the value

x = 2

, assuming the function is continuous at this point

= 3 f (2) + 2 g (2) \cdot 2^{2}

Simplify

3 f (2) + 2 g (2) \cdot 2^{2} : 3 f (2) + 8 g (2)

= 3 f (2) + 8 g (2)

\frac{2 s ^{2} + 5 s + 5}{( s + 1 ) ^{3}}

(\frac{5}{x}), at x = 4

\int 3 e^{x} + 5 sin (x) d x

y = (x^{3} - 25 x)^{8}, (5, 0)

x \to 4 lim (x^{3} + 4 x)

What is the limit as x approaches 2 of 3f(x)+2g(x)(x)^2 ?
The limit as x approaches 2 of 3f(x)+2g(x)(x)^2 is 3f(2)+8g(2)